Home / 1,515.25-2,268.78-783.31

Finding the Fourth Proportional to 1,515.25, 2,268.78 and 783.31

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Solution

The fourth proportional to 1,515.25, 2,268.78 and 783.31 is: 1,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.25 : 2,268.78 = 783.31 : x
  2. Step 2: Convert to fraction form
    1,515.25/2,268.78 = 783.31/x
  3. Step 3: Cross multiply
    1,515.25x = 2,268.78 × 783.31
  4. Step 4: Simplify right side
    1,515.25x = 1,777,158.06
  5. Step 5: Solve for x
    x = 1,777,158.06/1,515.25
  6. Step 6: Final answer
    x = 1,172.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.